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Addictive behavior spreads through social networks via feedback among choice, peer pressure, and shifting ties, a process that eludes standard epidemic models. We present a comprehensive multi-state network model that integrates…

Physics and Society · Physics 2025-06-30 Hsuan-Wei Lee , Yi-Hsuan Huang , Nishant Malik

Boolean networks have been widely used in many areas of science and engineering to represent various dynamical behaviour. In systems biology, they became useful tools to study the dynamical characteristics of large-scale biomolecular…

Dynamical Systems · Mathematics 2024-01-01 Jongrae Kim , Woojeong Lee , Kwang-Hyun Cho

In this work, several random Boolean networks (RBN) are generated and analyzed from two characteristics: their time evolution diagram and their transition diagram. For this purpose, its randomness is estimated using three measures, of which…

Information Theory · Computer Science 2024-09-04 Manuel de J. Luevano , Alejandro Puga

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf

Boolean networks, first developed in the late 1960s as a tool for studying complex disordered dynamical systems, consist of nodes governed by Boolean functions whose evolution is entirely deterministic in that the state of the network at a…

Quantum Physics · Physics 2023-03-02 Ian T. Durham

Many biological and cognitive systems do not operate deep within one or other regime of activity. Instead, they are poised at critical points located at phase transitions in their parameter space. The pervasiveness of criticality suggests…

Adaptation and Self-Organizing Systems · Physics 2018-06-04 Miguel Aguilera , Manuel G. Bedia

Complex diseases can be modeled as damage to intracellular networks that results in abnormal cell behaviors. Network-based dynamic models such as Boolean models have been employed to model a variety of biological systems including those…

Biological Physics · Physics 2016-12-30 Gang Yang , Colin Campbell , Réka Albert

A new probabilistic network construction system, DYNASTY, is proposed for diagnostic reasoning given variables whose probabilities change over time. Diagnostic reasoning is formulated as a sequential stochastic process, and is modeled using…

Artificial Intelligence · Computer Science 2013-03-26 Gregory M. Provan

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

Adaptation and Self-Organizing Systems · Physics 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

Boolean networks are extensively applied as models of complex dynamical systems, aiming at capturing essential features related to causality and synchronicity of the state changes of components along time. Dynamics of Boolean networks…

Logic in Computer Science · Computer Science 2026-04-06 Maximilien Gadouleau , Loïc Paulevé , Sara Riva

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

Our daily social and political life is more and more impacted by social networks. The functioning of our living bodies is deeply dependent on biological regulation networks such as neural, genetic, and protein networks. And the physical…

Discrete Mathematics · Computer Science 2022-04-25 Jacques Demongeot , Tarek Melliti , Mathilde Noual , Damien Regnault , Sylvain Sené

We investigate analytically and numerically the dynamical properties of critical Boolean networks with power-law in-degree distributions. When the exponent of the in-degree distribution is larger than 3, we obtain results equivalent to…

Disordered Systems and Neural Networks · Physics 2009-11-13 Barbara Drossel , Florian Greil

Despite the large quantity of information available, thorough researches in various biological databases are still needed in order to reconstruct and understand the steps that lead to known or new phenomena. By using protein-protein…

Molecular Networks · Quantitative Biology 2014-12-03 Alberto Calderone

The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic order parameters. The topology of the networks studied and…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alexander Mozeika , David Saad

Computational models of biological processes provide one of the most powerful methods for a detailed analysis of the mechanisms that drive the behavior of complex systems. Logic-based modeling has enhanced our understanding and…

Molecular Networks · Quantitative Biology 2022-02-08 John Zobolas , Pedro T. Monteiro , Martin Kuiper , Åsmund Flobak

Graph neural networks have demonstrated excellent applicability to a wide range of domains, including social networks, biological systems, recommendation systems, and wireless communications. Yet a principled theoretical understanding of…

Machine Learning · Computer Science 2026-04-14 Xinping Yi

Novel imaging and neurostimulation techniques open doors for advancements in closed-loop control of activity in biological neural networks. This would allow for applications in the investigation of activity propagation, and for diagnosis…

Neurons and Cognition · Quantitative Biology 2024-09-30 Laurens Engwegen , Daan Brinks , Wendelin Böhmer

The time taken for gene expression varies not least because proteins vary in length considerably. This paper uses an abstract, tuneable Boolean regulatory network model to explore gene expression time variation. In particular, it is shown…

Biomolecules · Quantitative Biology 2016-03-16 Larry Bull

Regulatory networks describe the interactions between molecular or cellular regulators, like transcription factors and genes in gene regulatory networks, kinases and their receptors in signalling networks, or neurons in neural networks. A…

Molecular Networks · Quantitative Biology 2022-12-29 Niklas Bonacker , Johannes Berg